What is the Least Common Multiple of 92847 and 92855?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 92847 and 92855 is 8621308185.
LCM(92847,92855) = 8621308185
Least Common Multiple of 92847 and 92855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92847 and 92855, than apply into the LCM equation.
GCF(92847,92855) = 1
LCM(92847,92855) = ( 92847 × 92855) / 1
LCM(92847,92855) = 8621308185 / 1
LCM(92847,92855) = 8621308185
Least Common Multiple (LCM) of 92847 and 92855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92847 and 92855. First we will calculate the prime factors of 92847 and 92855.
Prime Factorization of 92847
Prime factors of 92847 are 3, 30949. Prime factorization of 92847 in exponential form is:
92847 = 31 × 309491
Prime Factorization of 92855
Prime factors of 92855 are 5, 7, 379. Prime factorization of 92855 in exponential form is:
92855 = 51 × 72 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 92847 and 92855.
LCM(92847,92855) = 31 × 309491 × 51 × 72 × 3791
LCM(92847,92855) = 8621308185
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